Ask a New Question
Menu

The area of the base of the rectangular prism is 20 x 18

The area of the first triangle is: b = 20 and the slant height. Is 16.6
The second triangle is: b=18 and the slant height is = 17.2

What is the surface of the rectangular pyramid? 

(1 point)
Responses

1,001.6 cm2
1,001.6 cm squared

1,178.8 cm2
1,178.8 cm squared

102,787.2 cm2
102,787.2 cm squared

1,643.2 cm2

1 answer

To find the surface area of the rectangular pyramid, we'll first need to calculate the area of the base and then the areas of the triangular sides.

  1. Calculate the Area of the Base:

    • The base is a rectangle with dimensions 20 cm and 18 cm.
    • Area of the base = length × width = 20 cm × 18 cm = 360 cm².

  2. Calculate the Area of the Triangular Faces:

    • There are two triangles with base 20 cm and slant height 16.6 cm.
    • Area of the first triangle = (1/2) × base × height = (1/2) × 20 cm × 16.6 cm = 166 cm².
    • There are two triangles with base 18 cm and slant height 17.2 cm.
    • Area of the second triangle = (1/2) × base × height = (1/2) × 18 cm × 17.2 cm = 154.8 cm².

  3. Total Area of the Triangles:

    • Total area of the triangular faces = 2*(166 cm²) + 2*(154.8 cm²) = 332 cm² + 309.6 cm² = 641.6 cm².

  4. Total Surface Area of the Pyramid:

    • Total surface area = Area of the base + Total area of the triangular faces = 360 cm² + 641.6 cm² = 1001.6 cm².

Therefore, the surface area of the rectangular pyramid is 1,001.6 cm².

So the correct answer is:

1,001.6 cm².